WBJEE · Physics · Mechanical Properties of Fluids
Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is \(p\) where the velocity of flow is \(v\). At another point, where the pressure is \(p / 2,\) the velocity of flow is [density of water \(=\rho]\)
- A \(\sqrt{v^{2}+\frac{p}{\rho}}\)
- B \(\sqrt{v^{2}-\frac{p}{\rho}}\)
- C \(\sqrt{v^{2}+\frac{2 p}{\rho}}\)
- D \(\sqrt{v^{2}-\frac{2 p}{\rho}}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{v^{2}+\frac{p}{\rho}}\)
Step-by-step Solution
Detailed explanation
As the water is flowing through the horizontal tube, so in the streamline flow of water, the sun of static pressure and dynamic pressure is constant \(i, e\) \[ P+\frac{1}{2} \rho v^{2}=\frac{P}{2}+\frac{1}{2} \rho v_{1}^{2} \]…
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